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256255804872 = 2334395456489
BaseRepresentation
bin1110111010101000001…
…0010100010111001000
3220111102220111200010000
43232222002110113020
513144302441223442
6313420003123000
724341154254634
oct3565202242710
9814386450100
10256255804872
119974a7a3021
12417b7673460
131b21b150592
14c58d5abdc4
1569ec130d4c
hex3baa0945c8

256255804872 has 40 divisors (see below), whose sum is σ = 717753529350. Its totient is φ = 85418601408.

The previous prime is 256255804867. The next prime is 256255804957. The reversal of 256255804872 is 278408552652.

256255804872 is a `hidden beast` number, since 2 + 5 + 6 + 2 + 558 + 0 + 4 + 87 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130808082276 + 125447722596 = 361674^2 + 354186^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 197727597 + ... + 197728892.

Almost surely, 2256255804872 is an apocalyptic number.

It is an amenable number.

256255804872 is an abundant number, since it is smaller than the sum of its proper divisors (461497724478).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

256255804872 is a wasteful number, since it uses less digits than its factorization.

256255804872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395456507 (or 395456494 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 256255804872 in words is "two hundred fifty-six billion, two hundred fifty-five million, eight hundred four thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 395456489 790912978 1186369467 1581825956 2372738934 3163651912 3559108401 4745477868 7118216802 9490955736 10677325203 14236433604 21354650406 28472867208 32031975609 42709300812 64063951218 85418601624 128127902436 256255804872